The hypotenuse angle theorem, also known as the HA theorem, states that 'if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.'
Chat with our AI personalities
If two right triangles have
(hypotenuse and an acute angle of one) = (hypotenuse and the corresponding angle of the other)
then the triangles are congruent
In the HA theorem A stands for angle. HA is a specific case of ASA, because if you know the angle A, then the other angle is (90-A).
It does not; if there is no 90 degree angle there is no hypotenuse.
If you know one side (s) and the opposite angle (a) then the hypotenuse = s/sin a...
Pythagoras' theorem states that for any right angle triangle the square of its hypotenuse is equal to the sum of its square sides
Pythagoras' theorem is applicable to any right angle triangle and states that when its hypotenuse is squared it is equal to the sum of its squared sides.